Aptitude - Questions & Answers

Area Calculation - Online Quiz

Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Area Calculation. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - The edge of a story of a room is 18m. What is the region of four dividers of the room, if its stature is 3m?

Answer : C

Explanation

Perimeter= 2 (L+b)=18 and height =3m
Area of 4 walls = 2(l+b)*h= (18*3) = 54 sq.m

Q 2 - If an inclining of a rectangle is17cm long and its border is 46cm, The zone of the rectangle is:

Answer : C

Explanation

2(L+b)= 46  ⇒(L+b)=23
√ (a²+b²) = 17 ⇒ (L²+b²) =289
⇒ (L²+b²) = (L+b) ²-2Lb
⇒ 289 = (23)²-2Lb ⇒ 2Lb= 529-289=240 ⇒Lb=120
∴ Area =120 cm²

Q 3 - The length of a rectangular plot is expanded by 25%. To keep its region unaltered, the width of the plot ought to be:

A - kept unaltered

B - expanded by 25%

C - expanded by 20%

D - Diminished by 20%

Answer : D

Explanation

Let the length be x meter and breadth be y mtr.
Then, its area = (xy) m²
New length = (125/100*x) m = (5x/4) m. let the new breadth be z meters.
Then, xy = 5x/4*z ⇒z= 4/5 y
Decrease in width = (y-4/5y) = y/5 mtr.
Decrease % in width = (y/5*1/y*100) % = 20%

Q 4 - Of the two square fields, the range of the one is 1 hectare, while another is more extensive by 1%. The distinction in ranges is:

Answer : B

Explanation

Area of one Sq. field= 10000m²
Side of this field = √10000m =100m
Side of another square = 101 m
Difference of area = [(101) ²-(100) ²] m²
=(101+100)(101-100)m2 = (201*1)m²= 201m²

Q 5 - The perimeter of a square circumscribed about a circle of radius r is:

Answer : C

Explanation

Each side of the square = 2r
∴ Perimeter of the square = (4* 2r) = 8r.

Q 6 - A circle and a rectangle have same perimeter.The side of the rectangle is 18cm and 26 cm. what is the area of the circle?

Answer : C

Explanation

Circumference of the circle= Perimeter of the rectangle
= 2 (18+26) cm= 88cm
2*22/7* R= 88 ⇒ R= (88*7/44) =14 cm
Area of the circle = πr² = (22/7 *14*14) cm² =616 cm²

Q 7 - ∆ABC and ∆ DEF are similar triangles such that BC= 4cm, EF= 5cm and area (∆ ABC) = 64cm². The area of ∆DEF is:

Answer : B

Explanation

The areas of two similar triangles are in the ratio of the square of  the corresponding sides.
Ar (∆ABC)/ ar (∆Def) =BC²/Ef² ⇒64/ ar (∆Def) = (4)²/ (5)² = 16/25
⇒ar (∆DEF) = (25*64/16) = 100 cm²

Q 8 - The territory of a circle engraved in an equilateral triangle is 462 cm². The edge of this triangle is:

Answer : C

Explanation

Πr² = 462 ⇒ 22/7* r² = 462 ⇒ r² = (462*7/22) = 147
⇒ r = √ 7*7*3   = 7 √3  cm
Height = 3r = (3* 7 √ 3) cm   = 21√ 3 cm
a² - (a/2) ² = (21√ 3) ² ⇒ (a²- a²/4) = 1323
3a² = (1323*4) ⇒   a²= (441* 4) ⇒ a = (21*2) = 42
Perimeter of the triangle = 3a = (3*42) = 126 cm.

Q 9 - The diagonals of a rhombus are 45 cm and 30 cm. Its territory is:

Answer : A

Explanation

Area of the rhombus = 1/2 d₁* d₂= (1/2 *45*40)cm² =675 cm²

Q 10 - The edge of a circle and a square field are equivalent. What is the Breadth of the round field, if the region of the square field is484m²?

Answer : C

Explanation

Let the side of the square be a meters. Then,
a²= 484 ⇒a =√484 =22m
Perimeter of circle =Perimeter of the square= (22*4) m = 88m
⇒2* 22/7*R = 88 ⇒R= (88*7/44) = 14m
∴ Diameter= (14*2) m = 28m

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